4141681800 has 48 divisors (see below), whose sum is σ = 12839215440. Its totient is φ = 1104448320.

The previous prime is 4141681799. The next prime is 4141681801. The reversal of 4141681800 is 81861414.

4141681800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4141681799) and next prime (4141681801).

It is a super-3 number, since 3×4141681800³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4141681801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450802 + ... + 3452001.

It is an arithmetic number, because the mean of its divisors is an integer number (267483655).

Almost surely, 2^4141681800 is an apocalyptic number.

4141681800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141681800 is an abundant number, since it is smaller than the sum of its proper divisors (8697533640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4141681800 is a wasteful number, since it uses less digits than its factorization.

4141681800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902822 (or 6902813 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 4141681800 is about 64355.8994964720. The cubic root of 4141681800 is about 1605.9261742290.

The spelling of 4141681800 in words is "four billion, one hundred forty-one million, six hundred eighty-one thousand, eight hundred".